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Paper Citation Record · LEDGER

Equation of state of the running vacuum

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2207.07111.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2207.07111 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:44:52.471075Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T10:36:52.480028Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 3e3ad9fd-5207-4cb5-b3ff-7af184b376e0 · inbound

Composite Dark Energy and the Cosmological Tensions cites this paper.

Composite Dark Energy and the Cosmological Tensions Equation of state of the running vacuum

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:52.471075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:52.471075Z digest=sha256:b7d7b0bf57ef8582050cc069147f96876cf5548ce060965434053440a0449795

Observation 983e18ba-05dd-4caa-a269-f714f3cc61e7 · inbound

Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum cites this paper.

Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum Equation of state of the running vacuum

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T11:53:05.999160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:53:05.999160Z digest=sha256:d1a97a16f44cc40c9214cb8e723fb8bf30ba26a8fe22c4ec12bc7bff5e544894

Observation 3b909659-3c42-4cb4-8363-7cddc4e71efb · inbound

The most general four-derivative Unitary String Effective Action with Torsion and Stringy-Running-Vacuum-Model Inflation: Old ideas from a modern perspective cites this paper.

The most general four-derivative Unitary String Effective Action with Torsion and Stringy-Running-Vacuum-Model Inflation: Old ideas from a modern perspective Equation of state of the running vacuum

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-15T21:20:18.518238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-15T21:18:06.074734Z digest=sha256:49343f99586d892a19c01e44ef5cb821e37b49a8ceab6ebf2cfa7d128c0c3a68

Observation 05da686b-fcf1-4d20-a0ef-4efd7dbb2760 · inbound

Exploring the interplay of late-time dynamical dark energy and new physics before recombination cites this paper.

Exploring the interplay of late-time dynamical dark energy and new physics before recombination Equation of state of the running vacuum

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-14T23:13:14.772507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-14T23:13:02.830649Z digest=sha256:16b57167b285f1caec8c64ca557628ec0a08ca880a9a12e2f5d2fe3d542fb7e3

Observation ae3c8abf-0fb2-46ae-94b4-e8e1d3d05f64 · inbound

Observational tests of \texorpdfstring{$\Lambda(t)$}{Lambda(t)} cosmology in light of DESI DR2 cites this paper.

Observational tests of \texorpdfstring{$\Lambda(t)$}{Lambda(t)} cosmology in light of DESI DR2 Equation of state of the running vacuum

Reference 68

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T07:32:00.179718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T07:29:51.699632Z digest=sha256:52456a5cc653146b8fcaf6624fe0b679e190f13442000294207d81e22c857d44

Observation ac93b642-7c23-415c-a869-b802b0965310 · inbound

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy cites this paper.

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy Equation of state of the running vacuum

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:36:52.481289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T04:59:43.971930Z digest=sha256:2fccfc1440a664c4c3fc205159a5c4621f9cd457d52cae32e701c06f4e41f539

Observation c1124224-8697-457a-89a3-e9d70bdc34c5 · inbound

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy cites this paper.

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy Equation of state of the running vacuum

Reference 35

Resolution
unresolved
no resolver link, observed 2026-07-12T15:09:17.581029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T15:09:17.581029Z digest=sha256:7206dd685d451e8928f9874a0f3d35d114148623ea22925a3ed94990846449ab